Monthly Best Of on 02/28/2021




Synthesis of tridimensional symmetrical geometrical textures

Jean-François COLONNA
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www.lactamme.polytechnique.fr

CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641, École polytechnique, Institut Polytechnique de Paris, CNRS, France

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(CMAP28 WWW site: this page was created on 02/28/2021 and last updated on 10/03/2024 17:04:16 -CEST-)




Contents of this page:


1-The 128 most referenced Pictures (*):

(*): Undisplayed pictures -if any- do not exist.



Tridimensional representation of a quadridimensional Calabi-Yau manifold
1-101 reference(s)		Autostereogram with an hidden volcano
2-79 reference(s)		Autostereogram with an hidden ring and ghost bows
3-79 reference(s)		Autostereogram with an hidden volcano
4-77 reference(s)
Rotation about the Y (vertical)axis of a tridimensional representation of a quadridimensional Calabi-Yau manifold that can also be viewed as a set of 4x3 stereograms
5-69 reference(s)		The random walk of photons escaping the Sun
6-63 reference(s)		The random walk of photons escaping the Sun
7-59 reference(s)		A blue Sponge-tree -a Tribute to Yves Klein-
8-58 reference(s)
Autostereogram with an hidden volcano and 64 self-portraits
9-56 reference(s)		The random walk of photons escaping the Sun
10-47 reference(s)		Fractal diffusion front in a bidimensional medium obtained by means of a random walk process (zoom in on the first steps)
11-47 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
12-46 reference(s)
The bidimensional John Conway's life game
13-46 reference(s)		Autostereogram with an hidden volcano
14-45 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
15-45 reference(s)		Tridimensional display of the Riemann Zeta function inside [-10.0,+20.0]x[-15.0,+15.0] (bird's-eye view)
16-44 reference(s)
The front of a forest fire -white- obtained by means of a bidimensional random walk process (bird's-eye view, zoom in on the first steps)
17-44 reference(s)		Monument Valley at sunrise with light cloud dynamics -this sequence being periodical-
18-43 reference(s)		Dynamics of the even distribution of 6 points on a sphere -an Octahedron- by means of simulated annealing
19-42 reference(s)		Black dots on a square lattice
20-42 reference(s)
Bidimensional geometrical texture animation
21-37 reference(s)		Tridimensional zoom in on the Mandelbrot set
22-37 reference(s)		Happy new year 2000
23-37 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
24-37 reference(s)
The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 50% infection, starting with just one infected person -red particle on bottom left picture-
25-36 reference(s)		Bidimensional quasi-symmetrical fractal aggregate obtained by means of a 100% pasting process during collisions of particles submitted to an attractive central field of gravity
26-36 reference(s)		Bidimensional zoom in on the Mandelbrot set with display of the arguments
27-36 reference(s)		Quaternionic Julia sets along the border of the Mandelbrot set -tridimensional cross-sections-
28-36 reference(s)
The Universe at the heart of a Calabi-Yau manifold
29-35 reference(s)		The 'exponential' spreading of a tridimensional epidemic -the COVID-19 coronavirus?- without confinement -1430 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
30-35 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 50% infection, starting with just one infected person -red particle on bottom left picture-
31-35 reference(s)		The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- with partial confinement -201 particles-, with a zero death rate and a 100% infection, starting with just one infected person -red particle on bottom left picture-
32-35 reference(s)
The 'exponential' spreading of a bidimensional epidemic -the COVID-19 coronavirus?- without confinement -300 particles-, with a zero death rate and with a 100% infection, starting with just one infected person -red particle on bottom left picture-
33-35 reference(s)		Tridimensional display of the particle density of a bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
34-35 reference(s)		A bidimensional periodical fluid with strictly identical initial velocities and with a vertically shifted central obstacle
35-35 reference(s)		Bidimensional rectangular billiard with a central obstacle and an initial flow of rotating particles
36-35 reference(s)
Dynamics of the even distribution of 24 points on a sphere by means of simulated annealing
37-35 reference(s)		Tridimensional texture animation by means of the Generalized Product
38-35 reference(s)		Bidimensional texture animation by means of the Generalized Product
39-35 reference(s)		The journey of an Earth-like virtuel planet (green)from Pluto (grey) to the Sun (yellow) -point of view of the virtual planet-
40-35 reference(s)
From Mars to the Sun
41-35 reference(s)		The Möbius strip
42-35 reference(s)		Untitled 0004
43-35 reference(s)		64 elementary bidimensional binary cellular automata with 1 white starting central point
44-34 reference(s)
Autostereogram with an hidden volcano
45-33 reference(s)		Autostereogram of the CMAP
46-33 reference(s)		Artistic view of the prime numbers
47-33 reference(s)		A 1972 Télémécanique T1600 computer with a 32 KB central memory and two 512 KB disk drives
48-32 reference(s)
Quantum vacuum fluctuations
49-31 reference(s)		A pseudo-octonionic Mandelbrot set (a 'MandelBulb')-tridimensional cross-section-
50-31 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
51-29 reference(s)		Autostereogram of a quaternionic Julia set -tridimensional cross-section-
52-28 reference(s)
The generalized Ulam spiral
53-28 reference(s)		A spherical cross-section inside the Menger Sponge -iteration 5-
54-28 reference(s)		The Jeener-Klein triple bottle
55-28 reference(s)		An aperiodic Penrose tiling of the plane
56-27 reference(s)
Tridimensional representation of a quadridimensional Calabi-Yau manifold
57-27 reference(s)		An aperiodic Penrose tiling of the plane
58-26 reference(s)		The generalized Ulam spiral displaying 1024 numbers
59-26 reference(s)		Isle of the Dead -a Tribute to Arnold Böcklin-
60-25 reference(s)
Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of a fractal tridimensional space-
61-25 reference(s)		Cauliflowers, seaweeds, shells,...
62-24 reference(s)		True colors autostereogram of a quaternionic Julia set -tridimensional cross-section-
63-23 reference(s)		4 evenly distributed points on a sphere -a Tetrahedron- by means of simulated annealing
64-23 reference(s)
Autostereogram of Monument Valley
65-23 reference(s)		The first four iterations of the construction of the von Koch snowflake
66-22 reference(s)		An aperiodic Penrose tiling of the plane
67-22 reference(s)		Recursive subdivision of four Golden Rectangles -a Tribute to Piet Mondrian-
68-22 reference(s)
The generalized Ulam spiral displaying 1024 numbers
69-22 reference(s)		True colors autostereogram of a fractal landscape
70-22 reference(s)		The evolution of the Klein bottle using the Lorenz attractor
71-22 reference(s)		A tridimensional fractal manifold defined by means of three tridimensional fields
72-21 reference(s)
The Ulam spiral
73-21 reference(s)		Volcano
74-21 reference(s)		Fractal natural form
75-20 reference(s)		The generalized Ulam spiral displaying 100 numbers
76-20 reference(s)
The Lorenz attractor
77-20 reference(s)		Hypercube
78-20 reference(s)		Tridimensional display of the Riemann Zeta function inside [-50.0,+50.0]x[-50.0,+50.0] (bird's-eye view)
79-19 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
80-19 reference(s)
Sixteen interlaced fractal torus
81-19 reference(s)		Foggy island
82-19 reference(s)		Along the border of the Mandelbrot set
83-18 reference(s)		A computer room in the eighties -Courtesy of Philippe Lavialle-
84-18 reference(s)
The Scream -a Tribute to Edvard Munch-
85-18 reference(s)		Tridimensional display of the generalized Ulam spiral displaying 4096 numbers
86-18 reference(s)		The Simpson paradox
87-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -Pluto point of view-
88-18 reference(s)
An arbitrary surface (Jeener surface 2)in motion
89-18 reference(s)		Tridimensional representation of quadridimensional Calabi-Yau manifolds -Calabi-Yau manifolds attached to every point of our familiar tridimensional space?-
90-18 reference(s)		An elementary monodimensional binary cellular automaton -90- with 49 white starting points -on the bottom line-
91-18 reference(s)		N-body problem integration (N=10)displaying the actual Solar System during one plutonian year -the Sun point of view-
92-17 reference(s)
Close-up on a pseudo-octonionic Mandelbrot set (a 'Mandelbulb')-tridimensional cross-section-
93-17 reference(s)		Tridimensional Hilbert Curve -iteration 3-
94-17 reference(s)		Rotation about the Y (vertical)axis of the CMAP logo that can also be viewed as a set of 4x3 stereograms
95-17 reference(s)		Tridimensional representation of a hexadimensional Calabi-Yau manifold
96-17 reference(s)
The Bonan-Jeener-Klein triple bottle
97-17 reference(s)		The Jeener-Klein triple bottle
98-17 reference(s)		Two multiplexed autostereograms by means of a pi/2 rotation
99-16 reference(s)		A pay slip
100-16 reference(s)
Paradoxal Monument Valley at sunset, 'World of Tiers' -a Tribute to Philip José Farmer-
101-16 reference(s)		From Pluto to the Sun (non linear scales)
102-16 reference(s)		From 'geocentrism' to 'heliocentrism'
103-16 reference(s)		The intersection of the Menger Sponge -iteration 5- and of a quadridimensional Calabi-Yau manifold -tridimensional representation-
104-16 reference(s)
Bidimensional visualization of the Verhulst dynamics -(grey,orange,red)display negative Lyapunov exponents, (yellow,green,blue) display positive Lyapunov exponents-
105-16 reference(s)		Sixteen interlaced torus
106-16 reference(s)		Tridimensional representation of a quadridimensional Calabi-Yau manifold
107-16 reference(s)		About the length of the von Koch curve
108-15 reference(s)
Quantum vacuum fluctuations
109-15 reference(s)		2000 evenly distributed points on a sphere by means of the Fibonacci spiral
110-15 reference(s)		The Sierpinski Carpet -iteration 3-
111-15 reference(s)		The Sierpinski Carpet -iteration 5-
112-15 reference(s)
Pseudo Olympic Rings
113-15 reference(s)		The generalized Ulam spiral displaying 2025 numbers
114-15 reference(s)		Quark and gluon structure of a nucleon
115-15 reference(s)		A half-random extended Menger Sponge -iteration 5-
116-15 reference(s)
Tridimensional representation of a fractal quadridimensional Calabi-Yau manifold
117-15 reference(s)		A fractal Möbius strip
118-15 reference(s)		From the infinitely small to the infinitely big
119-15 reference(s)		Foggy 'anti-island'
120-15 reference(s)
Rotation about the Y (vertical)axis of the Klein bottle that can also be viewed as a set of 4x3 stereograms
121-15 reference(s)		Some of the most beautiful fractal pictures
122-15 reference(s)		Artistic view of the Big Bang
123-14 reference(s)		An aperiodic Penrose tiling of the Golden Decagon
124-14 reference(s)
An aperiodic Penrose tiling of the plane
125-14 reference(s)		Autostereogram with an hidden volcano
126-14 reference(s)		The 1.000 first digits -base 10- of 'pi' displayed on an helix -bad point of view-
127-14 reference(s)		The foggy Babel Tower -a Tribute to Brueghel the Elder-
128-14 reference(s)




2-The 128 most referenced Pages (*):

(*): Unclickable pages -if any- do not exist.



1-Stereogrammes_AutoStereogrammes.01
700 reference(s)		2-demo_14
611 reference(s)
3-AVirtualSpaceTimeTravelMachine.Ang
301 reference(s)		4-Galerie_NumberTheory.FV
297 reference(s)
5-An2000.01.Fra
289 reference(s)		6-stereogrammes_autostereogrammes.01
202 reference(s)
7-Galerie_GeneralitiesVisualization.FV
202 reference(s)		8-Vcatalogue.11
201 reference(s)
9-RealNumbers.01.Fra
189 reference(s)		10-Galerie_NonDeterministicFractalGeometryNaturalPhenomenonSynthesis.FV
187 reference(s)
11-help.
185 reference(s)		12-Galerie_ParticleSystems.FV
173 reference(s)
13-Galerie_ArtisticCreation.FV
172 reference(s)		14-AProposSite.01.Fra
169 reference(s)
15-mail.01.vv
167 reference(s)		16-galerie_numbertheory.fv
157 reference(s)
17-Galerie_ArtAndScience.FV
157 reference(s)		18-Fractal.01
156 reference(s)
19-logiciel
155 reference(s)		20-copyright.01.
155 reference(s)
21-an2000
155 reference(s)		22-MorePages.
155 reference(s)
23-realnumbers
153 reference(s)		24-nombresreels
153 reference(s)
25-demo
153 reference(s)		26-demo14
152 reference(s)
27-demo.14
151 reference(s)		28-genielogiciel
150 reference(s)
29-Galerie_DeterministicFractalGeometry.FV
143 reference(s)		30-Fractal.21
143 reference(s)
31-Fractal.11
141 reference(s)		32-Pcatalogue.11
140 reference(s)
33-Galerie_CelestialMechanics.FV
140 reference(s)		34-GenieLogiciel_VisualisationScientifique.01.vv
139 reference(s)
35-SurfaceProjector.01.Ang
138 reference(s)		36-EntrelacsIntertwinings.01.Fra
138 reference(s)
37-FloatingPointNumbers.01.Fra
136 reference(s)		38-LOG_xiMc.11
135 reference(s)
39-GoldenTriangle.01.Fra
135 reference(s)		40-Galerie_TextureSynthesis.FV
134 reference(s)
41-Autostereograms.01.
134 reference(s)		42-Galerie_NewPictures.FV
133 reference(s)
43-Galerie_QuantumMechanics.FV
132 reference(s)		44-FloatingPointNumbers.01.Ang
132 reference(s)
45-ExpV_VirE.11
131 reference(s)		46-galerie_nondeterministicfractalgeometrynaturalphenomenonsynthesis.fv
129 reference(s)
47-Galerie_Tributes.FV
129 reference(s)		48-Galerie_ImagesDesMathematiques.FV
127 reference(s)
49-FaireDeLaRecherche.01.vv
127 reference(s)		50-EntrelacsIntertwinings.01.Ang
127 reference(s)
51-DieuScience.01.Fra
125 reference(s)		52-AnimFractal.01.
124 reference(s)
53-AVirtualSpaceTimeTravelMachine.Fra
124 reference(s)		54-Galerie_Astrophysics.FV
123 reference(s)
55-SurfaceProjector.01.Fra
121 reference(s)		56-subject.01.
120 reference(s)
57-Galerie_SignalProcessing.FV
120 reference(s)		58-Galerie_NumbersAndLight.FV
120 reference(s)
59-infinity.01.vv
119 reference(s)		60-Informations_AboutPicturesAnimationsAndFiles.01.Ang
119 reference(s)
61-ImpossibleStructures.01.Fra
119 reference(s)		62-Galerie_ImagesDidactiques.FV
119 reference(s)
63-Kepler.02.
118 reference(s)		64-MonodimensionalCellularAutomata.01.Fra
117 reference(s)
65-MathematiquesPhysiqueFractales.02
117 reference(s)		66-galerie_generalitiesvisualization.fv
116 reference(s)
67-UlamSpiral.01.Fra
116 reference(s)		68-De_L_EnseignementAssisteParOrdinateur_a_L_ExperimentationVirtuelle.01.Fra
116 reference(s)
69-catalogue.11
115 reference(s)		70-Informations_GoodNewsAndBadNews.01.Fra
115 reference(s)
71-present.01.
114 reference(s)		72-Galerie_SensitivityToRoundingOffErrors.FV
114 reference(s)
73-Galerie_DeterministicChaos.FV
114 reference(s)		74-galerie_artisticcreation.fv
113 reference(s)
75-Informations_GoodNewsAndBadNews.01.Ang
113 reference(s)		76-OrdinateursEtCalculs.01.Ang
112 reference(s)
77-NDimensionalDeterministicFractalSets.01.Ang
112 reference(s)		78-ImagesDuVirtuel.01.Fra
112 reference(s)
79-galerie_particlesystems.fv
111 reference(s)		80-PerteDeLAssociativite.01
111 reference(s)
81-NDimensionalDeterministicFractalSets.01.Fra
111 reference(s)		82-MathematiquesPhysiqueFractales.12
111 reference(s)
83-IllusionConnaissance.02
111 reference(s)		84-Galerie_BestOf.FV
111 reference(s)
85-NombresEtLumiere.01.vv.Fra
110 reference(s)		86-Galerie_NewPictures
110 reference(s)
87-DuModeleALImage.02.Fra
110 reference(s)		88-GenieLogiciel.01.Fra
109 reference(s)
89-DecimalesPi_1_100.vv
109 reference(s)		90-Commentaires_VarieteHornerHyperbolique.01
109 reference(s)
91-Commentaires_NKleinBottle.01
109 reference(s)		92-morepages.
108 reference(s)
93-create.03.
108 reference(s)		94-SourceExemple_____xrq_____hydrogene.61.K.
108 reference(s)
95-MouvementsRelatifs_et_ObservationsAstronomiques.01.Fra
108 reference(s)		96-ImpossibleStructures.01.Ang
108 reference(s)
97-ExpV_VirE.Ang
108 reference(s)		98-UlamSpiral.01.Ang
107 reference(s)
99-PerteDeLAssociativite.01.ADD3
107 reference(s)		100-Multivers.01.Fra
107 reference(s)
101-MonodimensionalCellularAutomata.01.Ang
107 reference(s)		102-Galerie_FluidMechanics.FV
107 reference(s)
103-Fractal.03
107 reference(s)		104-Exposition_EcolePolytechnique_FeteDeLaScience_201910
107 reference(s)
105-DecimalesPi_100000.vv
107 reference(s)		106-ConjectureDeSyracuse_0256.vv
107 reference(s)
107-VisitesGaleriesEnfouies.01.Ang
106 reference(s)		108-RasoirDOccamEtMathematiques.01.vv.Fra
106 reference(s)
109-OrdinateurMathematiquesArt.01.Fra
106 reference(s)		110-NatureDesMathematiques.01.vv.Fra
106 reference(s)
111-ImagesDuVirtuel.01.Fra.FV
106 reference(s)		112-GoldenTriangle.01.Ang
106 reference(s)
113-Commentaires_VarieteHornerLineaire.01
106 reference(s)		114-Commentaires_VarieteHornerCirculaire.01
106 reference(s)
115-ArtScience.01
106 reference(s)		116-MathematiquesPhysiqueFractales.22
105 reference(s)
117-ManyChaos.01.Ang
105 reference(s)		118-DecimalesDePi.01.Fra
105 reference(s)
119-Commentaires_DefinitionPseudoOctonions.01
105 reference(s)		120-infinity.02.vv
104 reference(s)
121-OrdinateursEtCalculs.01.Fra
104 reference(s)		122-Commentaires_DefinitionPseudoQuaternions.01
104 reference(s)
123-MOSA.PAYS.u9.M.20031207
103 reference(s)		124-FaireDesMathematiques.01.Fra
103 reference(s)
125-Downloading.01.vv
103 reference(s)		126-ConjectureDeSyracuse_0128.Parity.vv
103 reference(s)
127-Fractal.02
102 reference(s)		128-Commentaires_VarieteHornerHyperbolique.02
102 reference(s)

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Copyright © Jean-François COLONNA, 2021-2024.
Copyright © CMAP (Centre de Mathématiques APpliquées) UMR CNRS 7641 / École polytechnique, Institut Polytechnique de Paris, 2021-2024.